化简求值:(m²-n²)2÷(m²-2mn+n²)-(m²+n
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化简求值:(m²-n²)2÷(m²-2mn+n²)-(m²+n²)········
化简求值:(m²-n²)2÷(m²-2mn+n²)-(m²+n²),其中|m²+n²-8|+(m-n-1)²=0.
化简求值:(m²-n²)2÷(m²-2mn+n²)-(m²+n²),其中|m²+n²-8|+(m-n-1)²=0.
![化简求值:(m²-n²)2÷(m²-2mn+n²)-(m²+n](/uploads/image/z/8327806-70-6.jpg?t=%E5%8C%96%E7%AE%80%E6%B1%82%E5%80%BC%3A%28m%26%23178%3B-n%26%23178%3B%292%C3%B7%28m%26%23178%3B-2mn%2Bn%26%23178%3B%29-%28m%26%23178%3B%2Bn%26%2317)
:(m²-n²)2÷(m²-2mn+n²)-(m²+n²)
=(m+n)²×(m-n)²÷(m-n)²-[(m+n)²-2mn]
=(m+n)²-(m+n)²+2mn
=2mn
|m²+n²-8|+(m-n-1)²=0.
∵|m²+n²-8|≧0
(m-n-1)²≧0
∴m²+n²-8=0 即m²+n²=8
m-n-1=0 即m-n=1 可变为(m-n)²=1 即m²+n²=2mn+1
∴
2mn+1=8
2mn=7
∴原式=2mn=7
=(m+n)²×(m-n)²÷(m-n)²-[(m+n)²-2mn]
=(m+n)²-(m+n)²+2mn
=2mn
|m²+n²-8|+(m-n-1)²=0.
∵|m²+n²-8|≧0
(m-n-1)²≧0
∴m²+n²-8=0 即m²+n²=8
m-n-1=0 即m-n=1 可变为(m-n)²=1 即m²+n²=2mn+1
∴
2mn+1=8
2mn=7
∴原式=2mn=7
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